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Hall algebras and quantum symmetric pairs of Kac-Moody type (2006.06904v2)
Published 12 Jun 2020 in math.RT, math.CO, and math.QA
Abstract: We extend our $\imath$Hall algebra construction from acyclic to arbitrary $\imath$quivers, where the $\imath$quiver algebras are infinite-dimensional 1-Gorenstein in general. Then we establish an injective homomorphism from the universal $\imath$quantum group of Kac-Moody type arising from quantum symmetric pairs to the $\imath$Hall algebra associated to a virtually acyclic $\imath$quiver.